The triangular faces of the peaks on a roof are congruent isosceles triangles with vertex angles U and V.


a. Which two angles are congruent to ∠WUX?
b. Find the distance between points U and V.

Answer:

70 miles / hour

Step-by-step explanation:

d = 175 miles

t = 2.5 hours

r = d/t

r = 175 / 2.5

r = 70 miles / hour

Answer:

(-1,1)

Step-by-step explanation:

4x+2x+3=-3

6x+3=-3

6x=-6

x=-1

y=2(-1)+3

y=-2+3

y=1

Answer: Brazil produces 9,428,400 sugar.

Step-by-step explanation:

That is the answer because 9.7% of 97,200,000 is 9,428,400.

Using proportions, it is found that the proportional equation for t in terms of d that matches the context is:

[tex]t = 42d[/tex]

Elizabeth practices the piano 1470 minutes in 5 weeks, hence, each day, consdering a week has 7 days, the amount of time she practices is:

[tex]a = \frac{1470}{35} = 42[/tex]

Hence, the proportional equation, considering t the time in minutes and d the number of days, is:

[tex]t = 42d[/tex]

You can learn more about proportions at https://brainly.com/question/24372153

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

UT is shorter than WT, therefore you cannot use it on this triangle.

I am joyous to assist you at any time.

Answer:

D

Step-by-step explanation:

plug in both values into the equations, and whichever one works for both is the right answer

the required equation is, D. y= x+6

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-2,4) and, (2,8)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y-4)/(x+2)=(8-4)/(2+2)

=>y-4=x+2

=>y=x+6

Hence, the required equation is, D. y= x+6

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Answer:

It is 4/5

Step-by-step explanation:

hope it helps ^^

Answer:

Step-by-step explanation:

7x - 382 = 3x - 161

4x - 382 = -161

4x = 221

x = 55.25

Answer: 4.5 cups

Step-by-step explanation:

2:10

4:20

half of a cup would be 5 pancakes

so, 4.5 cups of flour will make 25 pancakes.

Answer:

Answer:

B

Step-by-step explanation:

Answer:

do we answer all of them are just one

Answer:

c. 12x

Step-by-step explanation:

Answer:

if it's out of 100 it would be 55

Step-by-step explanation:

Answer:

D 55%

Step-by-step explanation:

I am assuming that the "45" is 45$ so then we do 100%-45$=55% But, if the "45" is 1 in 45, then the answer is 1-1/45=44/45 which rounds to 98%. That isn't any of the answers, so should be 55%

Hey there!

The length of the hypotenuse is about 11 centimeters.

To solve this, we use the formula [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse leg and [tex]a[/tex] and [tex]b[/tex] are the other sides. So we can plug the numbers in to the formula:

[tex]5^2 + 10^2 = c^2[/tex]

Now we get the squares of 5 and 10:

[tex]25 + 100 = c^2[/tex]

Add 25 and 100:

[tex]125 = c^2[/tex]

Take the square root from both sides:

[tex]11.18033... = c[/tex]

The length of the hypotenuse is about 11 centimeters.

Hope it helps and have an amazing day!

The length of Hypotenuse = 11.18 cm

In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

Given,

In right angle ΔABC

AB = 5 cm

BC = 10 cm

AC = ?

By the Pythagoras theorem,

AC² = AB² + BC²

AC² = 5² + 10²

AC² = 25 + 125

AC = √125 = 11.18

Hence, 11.18 cm is the length of Hypotenuse AC .

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Answer:

46

Step-by-step explanation:

First you need to solve.. So put 3x - 10 and 2x + 1 together as one equation.

It should look like this:

3x - 10 = 2x + 1

Now you just need to solve it.

1) First you add 10 on both sides.

3x - 10 = 2x + 1

   + 10 =    + 10

------------------------

     3x = 2x + 11

2) Then you subtract 2x on both sides.

     3x = 2x + 11

   - 2x =- 2x + 11

-------------------------

      x = 11

3) Now you plug in 11 for x.

3x - 10 = 2x + 1

Like this:

3(11) - 10 = 2(11) + 1

33 - 10 = 22 + 1

23 =23

So C to E and E to A = 23

To get from C to A just add 23 + 23 which is 46. And that is ur answer.

Answer:

it is 46

Step-by-step explanation:

First you need to solve.. So put 3x - 10 and 2x + 1 together as one equation.

It should look like this:

3x - 10 = 2x + 1

Now you just need to solve it.

1) First you add 10 on both sides.

3x - 10 = 2x + 1

  + 10 =    + 10

------------------------

    3x = 2x + 11

2) Then you subtract 2x on both sides.

    3x = 2x + 11

  - 2x =- 2x + 11

-------------------------

     x = 11

3) Now you plug in 11 for x.

3x - 10 = 2x + 1

Like this:

3(11) - 10 = 2(11) + 1

33 - 10 = 22 + 1

23 =23

So C to E and E to A = 23

To get from C to A just add 23 + 23 which is 46. And that is ur answer.

you can slove this in this way if want more explansion ask me

Answer:

daaaaaaaaaa

Step-by-step explanation:

ssdddsss

Answer:

19. w * 32

20. p / 41

Step-by-step explanation:

Product is multiplication, divided by is division.

Make sure you pay attention to what the problem says, because multiplication terms can be moved around, but division has to go a certain way.

p / 41

is not the same as

41 / p

however

w * 32

is the same thing as

32 * w

Answer:22.2%

thank me later

Answer:

the volume will be doubled if the height is doubled

hope it helps you

please pic the photo correct ly

Answer:

That is, two objects are congruent if we can move one of the objects, without changing its shape or size, in such a way that it fits exactly over the other image, and we call these movements congruence transformations.

Answer:

x ∈ [-0.369, 0.678]

Step-by-step explanation:

To prove - [tex]\sqrt[4]{1 + 2x}[/tex] ≈ 1 + [tex]\frac{1}{2}[/tex] x

As given , f(x) = [tex]\sqrt[4]{1 + 2x}[/tex]

As we know that the linear approximation can be defined as :

L(x) = f(a) + f'(a)(x-a)             .........(1)

Now,

We have to show that at a = 0 , equation (1) satisfies

Now,

f(0) = [tex]\sqrt[4]{1 + 0}[/tex] = 1

Also,

f'(x) =

[tex]\frac{d}{dx} (\sqrt[4]{1 + 2x} ) = \frac{1}{4}(1 + 2x)^{\frac{1}{4} - 1}\frac{d}{dx}(1 + 2x) ) \\ = \frac{1}{4}(1 + 2x)^{\frac{-3}{4} } (2)\\ = \frac{1}{2}(1 + 2x)^{\frac{-3}{4} }\\[/tex]

∴ we get

f'(x) = [tex]\frac{1}{2}(1 + 2x)^{-\frac{3}{4} }[/tex]

⇒f'(0) = [tex]\frac{1}{2}[/tex]

Now, equation (1) becomes

L(x) = f(0) + f'(0)(x-0)

     = 1 + [tex]\frac{1}{2}[/tex] (x)

⇒ [tex]\sqrt[4]{1 + 2x}[/tex] ≈ 1 + [tex]\frac{1}{2}[/tex] x

Hence verified.

Now,

|[tex]\sqrt[4]{1 + 2x}[/tex] - (1 + [tex]\frac{1}{2}[/tex] x ) | ≤ 0.1

⇒ -0.36893 ≤ x ≤ 0.67766

⇒x ∈ [-0.369, 0.678]

Answer:

³/2 (1.5)

Step-by-step explanation:

∆DEF was enlarged to get ∆ABC. The scale factor would be:

The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.

Thus,

BC:EF = 12:8

= 12/8

= 3/2 = 1.5

Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5

Answer:

[tex]\$498.75[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the original price of the item. We can set up the following equation:

[tex]x\cdot (1-0.2)=399[/tex].

Solving for [tex]x[/tex], we get:

[tex]x\cdot 0.8=399,\\x=\frac{399}{0.8},\\x=\fbox{$\$498.75$}[/tex].

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

Step-by-step explanation:

Given that,

The side of a square field = 70 m

The dimensions of a rectangular field with length 90m and breadth 60m.

The distance covered by the person on square field is given by :

P = 4×side

= 4×70

= 140 m

The distance covered by the person on a rectangular field is given by :

P = 2(l+b)

= 2(90+60)

= 2×150

= 300 m

Hence, a person will cover more distance in the rectangular field.